646272000 has 704 divisors, whose sum is σ = 2759028480. Its totient is φ = 147456000.

The previous prime is 646271999. The next prime is 646272019. The reversal of 646272000 is 272646.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38015992 + ... + 38016008.

Almost surely, 2^646272000 is an apocalyptic number.

646272000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379514240).

646272000 is an abundant number, since it is smaller than the sum of its proper divisors (2112756480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

646272000 is a wasteful number, since it uses less digits than its factorization.

646272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 646272000 is about 25421.8803395815. The cubic root of 646272000 is about 864.5798576657.

The spelling of 646272000 in words is "six hundred forty-six million, two hundred seventy-two thousand".